6 Views

Question : Directions: Rashmi stepped out of her college and walked 15 m towards the South. She then took a left turn and walked 35 m to reach a pastry shop. She then took a right turn and walked 15 m. She then took a right turn and walked 35 m to reach her house. What is the approximate shortest distance between Rashmi's college and her house via the pastry shop?

Option 1: 38 m

Option 2: 69 m

Option 3: 76 m

Option 4: 54 m


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 76 m


Solution : According to the instructions given, the diagram is as follows –

Now, find the shortest distance between Rashmi's college and her house via the pastry shop –

Here, A is the starting point and E is the finishing point and AE is the total distance from the starting point.

AB = CD = 15m; BC = DE = 35m
By applying the Pythagorean theorem –
(AC) 2 = (AB) 2 + (BC) 2
(AC) 2 = (15) 2 + (35) 2 = 225 + 1225 = 1450
⇒ AC = $\sqrt1450$ = 38m = CE
Now, add AC and CE to find the approximate shortest distance between Rashmi's college and her house via the pastry shop –
AC + CE = 38 + 38 = 76m

So, the approximate shortest distance between Rashmi's college and her house via the pastry shop is 76m. Hence, the third option is correct.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books